Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 507, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2021.125742
Keywords
Concentration-compactness principle; alpha-stable processes; Elliptic problems with critical; nonlinearities
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The study proves the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated with a stable operator, and obtains a concentration-compactness principle for stable processes in R-N.
We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in R-N. (c) 2021 Elsevier Inc. All rights reserved.
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